The longest pipe on a certain organ is 5.12 m. (a) What is the frequency f7 (at

Question

The longest pipe on a certain organ is 5.12 m.

(a) What is the frequency f7 (at 0.00°C) if the pipe is closed at one end?

(b) What is the frequency (at 0.00°C) if the pipe is open at each end?

(c) What will be the frequencies at 20.0°C?

The longest pipe on a certain organ is 5.12 m. (a) What is the frequency f (at 0.00°C) if the pipe is closed at one end? 210.11 Your response differs from the correct answer by more than 10%. Double check your calculations. Hz (b) What is the frequency (at 0.00°C) if the pipe is open at each end? 226.27 (c) What will be the frequencies at 20.0°C? pipe frequency (Hz) 217.72 closed Your response differs from the correct answer by more than 10%. Double check your calculations open 234.47

Explanation / Answer

Here Wavelength 2L = 2* 5.12 = 10.24

Frequency f = nv/2L

f = 343/10.24

f = 33.49 Hz

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speed of sound at o degrees celsius, vo = 331 m/s

a) for closed pipe,

f7 = (7 )*v/(4*L)

f7 = 7*331/(4*5.12)

f7 = 113.13 Hz
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b) for open pipe, f7 = 7*v/(2*L)

f7 = 7*331/(2*5.12)

f7 = 226.27

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c) speed od sound at 20 degrees celsisus,

every one degree change in there corrsponds a 0.6 m/s change in velocity

si

vo = 331 + 0.6*20 = 343 m/s

for closed pipe, f7 = (7 )*v/(4*L)

f7 = 7 *343/(4*5.12 )

f7 = 117.23 Hz
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for open pipe, f7 = 7*v/(2*L)

= 7*343/(2*5.12)

= 234.4 Hz

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